λ
Sequence Observatory

7,396,437

3 × 47 × 52457
Deficient Odd Composite

Starting at 7,396,437, the Collatz iteration reaches 1 after 80 steps. The first transition is 22189312; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 52457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,071,936
Proper Divisor Sum 2,675,499
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7396423 ← → #7396439

Radix Representation

Decimal 7396437
Binary 11100001101110001010101 (23 bits)
Octal 0o34156125
Hexadecimal 0x70DC55

Divisor Catalog (8)

1 3 47 141 52,457 157,371 2,465,479 7,396,437

Collatz Trajectory (80 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,396,437 22,189,312 11,094,656 5,547,328 2,773,664 1,386,832 693,416 346,708 173,354 86,677 260,032 130,016 65,008 32,504 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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